{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "8bc76746",
   "metadata": {},
   "source": [
    "## numpy实现感知机"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d4d69e11",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "x = np.array([0, 1])\n",
    "w = np.array([0.5, 0.5])\n",
    "b = -0.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "39dca77c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0. , 0.5])"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w * x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c03572ea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.5"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(w * x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "75aed4f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.19999999999999996"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sum(w*x) + b"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aaf3cedc",
   "metadata": {},
   "source": [
    "# 利用numpy实现与门、与非门和或门"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "07bc2585",
   "metadata": {},
   "outputs": [],
   "source": [
    "def AND(x1, x2):\n",
    "    x = np.array([x1, x2])\n",
    "    w = np.array([0.5, 0.5])\n",
    "    b = -0.7\n",
    "    tmp = np.sum(w*x) + b\n",
    "    if tmp <= 0:\n",
    "        return 0\n",
    "    else:\n",
    "        return 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e322ab1c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def NAND(x1, x2):\n",
    "    x = np.array([x1, x2])\n",
    "    w = np.array([-0.5, -0.5])\n",
    "    b = 0.7\n",
    "    tmp = np.sum(w*x) + b\n",
    "    if tmp <= 0:\n",
    "        return 0\n",
    "    else:\n",
    "        return 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "c8ab75ce",
   "metadata": {},
   "outputs": [],
   "source": [
    "def OR(x1, x2):\n",
    "    x = np.array([x1, x2])\n",
    "    w = np.array([0.5, 0.5])\n",
    "    b = -0.2\n",
    "    tmp = np.sum(w*x) + b\n",
    "    if tmp <= 0:\n",
    "        return 0\n",
    "    else:\n",
    "        return 1"
   ]
  },
  {
   "attachments": {
    "image-2.png": {
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"
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"
    }
   },
   "cell_type": "markdown",
   "id": "38957d4b",
   "metadata": {},
   "source": [
    "把s1作为与非门的输出，把s2作为或门的输出，填入真值表中，观察x1、 x2、 y，可以发现确实符合异或门的输出\n",
    "\n",
    "![image-2.png](attachment:image-2.png)\n",
    "\n",
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1c528af7",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 通过与非门、或门、非门实现异或门\n",
    "def XOR(x1, x2):\n",
    "    s1 = NAND(x1, x2)\n",
    "    s2 = OR(x1, x2)\n",
    "    y = AND(s1, s2)\n",
    "    return y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "9694905c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "XOR(0,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "89453702",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "XOR(0,1)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "05fe24f8",
   "metadata": {},
   "source": [
    "# 感知机与神经网络的关系\n",
    "\n",
    "- 异或门是一种多层结构的神经网络。这里，将最左边的一列称为第0层，中间的一列称为第1层，最右边的一列称为第2层\n",
    "- 下图所示的感知机与前面介绍的与门、或门的感知机（图2-1）形状不同。实际上，与门、或门是单层感知机，而异或门是2层感知机。叠加了多层的感知机也称为多层感知机。\n",
    "![image.png](attachment:image.png)\n",
    "\n",
    "- 备注：上图所示的感知机总共由3层构成，但是因为拥有权重的层实质上只有2层（第0层和第1层之间，第1层和第2层之间），所以称为“2层感知机”。不过，有的文献认为图2-13的感知机是由3层构成的，因而将其称为“3层感知机”"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8f3816c5",
   "metadata": {},
   "source": [
    "# 总结\n",
    "- 感知机是具有输入和输出的算法。给定一个输入后，将输出一个既定的值。\n",
    "- 感知机将权重和偏置设定为参数。\n",
    "- 使用感知机可以表示与门和或门等逻辑电路。\n",
    "- 异或门无法通过单层感知机来表示。\n",
    "- 使用2层感知机可以表示异或门。\n",
    "- 单层感知机只能表示线性空间，而多层感知机可以表示非线性空间。\n",
    "- 多层感知机（在理论上）可以表示计算机"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.11"
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 },
 "nbformat": 4,
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